W[theta]g -Closed and W[delta]g -Closed in [0,1] -Topological Spaces

W[theta]g -Closed and W[delta]g -Closed in [0,1] -Topological Spaces

We investigate various classes of generalized closed fuzzy sets in [0,1] -topological spaces, namely, Wθg -closed fuzzy sets and Wδg -closed fuzzy sets. Also, we introduce a new separation axiom F[superscript]T3/4[low *][/superscript] of the [0,1] -topological spaces, and we prove that every F[super...

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2011-01, Vol.2011
Hauptverfasser: El-Shafei, M E, Zakari, A H
Format: Artikel
Sprache:eng
Schlagworte:
Fuzzy logic
Fuzzy sets
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Zusammenfassung:We investigate various classes of generalized closed fuzzy sets in [0,1] -topological spaces, namely, Wθg -closed fuzzy sets and Wδg -closed fuzzy sets. Also, we introduce a new separation axiom F[superscript]T3/4[low *][/superscript] of the [0,1] -topological spaces, and we prove that every F[superscript]T3/4[low *][/superscript] -space is a F[subscript]T3/4[/subscript] -space. Furthermore, we using the new generalized closed fuzzy sets to construct new types of fuzzy mappings.
ISSN:0161-1712
1687-0425